Sentence examples for mathematical condition for from inspiring English sources

A mathematical condition for the response type at which the higher relative amplitude appears is derived, followed by an investigation of the system resonant frequency and relative amplitude.

We study these BC on the physical boundaries of the device and develop a numerical approximation to model an insulating boundary condition, or equivalently, a pointwise zero flux mathematical condition for the electron transport equation.

We show the general mathematical condition for indirect rescue to occur without assuming specific functions for predation (f) and growth (r).

To obtain a mathematical condition for buckling from such a stress state, (11) is premultiplied by v ¨ 1 ∗ : (56) v ¨ 1 ∗ · A ¨ 1 · v 1 ∗ + 2 A ˙ 1 · v ˙ 1 ∗ + A 1 · v ¨ 1 ∗ = 0.

"But when the audience slows down, it meets the mathematical conditions for synchronization," Dr. Barabasi said.

However, what the equations did describe was mathematical conditions for attractor dynamics.

Also, mathematical conditions for the optimal solutions of these criteria are derived.

The mathematical conditions for a physically meaningful discontinuity, which is identified as a phase change, are formulated and demonstrated.

Secular equations are derived for the plate in closed form isolated mathematical conditions for symmetric and skew-symmetric wave mode propagation in completely separate terms.

Secular equations for homogeneous, transversely isotropic plate in closed form and isolated mathematical conditions for symmetric and antisymmetric wave modes in completely separate terms are derived.

Secular equations for the plate in closed form and isolated mathematical conditions for symmetric and antisymmetric wave mode propagation in completely separate terms are derived.